2015/03/31 by Glenn Barnich, Pierre-Henry Lambert, Pujian Mao · 1 citation
Physics and Astronomy · #Algebra over a field #Algebra representation #Black Holes and Theoretical Physics #Cellular algebra #Central charge #Charge (physics) #Classical mechanics #Cosmology and Gravitation Theories #Einstein #Geometry #Gravitation #Logarithm #Mathematical analysis #Mathematical physics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Space (punctuation) #Symmetry (geometry) #Virasoro algebra #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/32/24/245001
published as Class. Quantum Grav. 32 (2015) 245001 · 19 pages. Typos corrected, one section added for discussing the main result. To appear in Classical and Quantum Gravity
arxiv created 2015/09/25 · openalex publication_date 2015/11/24 · arxiv updated 2015/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Three-dimensional Einstein–Maxwell theory with non-trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro–Kac–Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space involves logarithms and provides a tractable example of a polyhomogeneous solution space. The associated surface charges are non-integrable and non-conserved due to the presence of electromagnetic news. As in the four-dimensional purely gravitational case, their algebra involves a field-dependent central charge.